Search a number
-
+
2104434432 = 283533829
BaseRepresentation
bin111110101101111…
…0001111100000000
312102122212100100000
41331123301330000
513302213400212
6544453200000
7103102253232
oct17533617400
95378770300
102104434432
1198a997811
124a8930000
13276cb1399
1415d6c2252
15c4b411dc
hex7d6f1f00

2104434432 has 108 divisors (see below), whose sum is σ = 6292515320. Its totient is φ = 701457408.

The previous prime is 2104434421. The next prime is 2104434457. The reversal of 2104434432 is 2344344012.

It is a happy number.

2104434432 is a `hidden beast` number, since 210 + 4 + 4 + 3 + 443 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2104434396 and 2104434405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45294 + ... + 79122.

Almost surely, 22104434432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146257660).

2104434432 is an abundant number, since it is smaller than the sum of its proper divisors (4188080888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2104434432 is an frugal number, since it uses more digits than its factorization.

2104434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33860 (or 33834 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2104434432 is about 45874.1150541348. The cubic root of 2104434432 is about 1281.4799028985.

Adding to 2104434432 its reverse (2344344012), we get a palindrome (4448778444).

The spelling of 2104434432 in words is "two billion, one hundred four million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 31104 33829 62208 67658 101487 135316 202974 270632 304461 405948 541264 608922 811896 913383 1082528 1217844 1623792 1826766 2165056 2435688 2740149 3247584 3653532 4330112 4871376 5480298 6495168 7307064 8220447 8660224 9742752 10960596 12990336 14614128 16440894 19485504 21921192 25980672 29228256 32881788 38971008 43842384 58456512 65763576 77942016 87684768 116913024 131527152 175369536 233826048 263054304 350739072 526108608 701478144 1052217216 2104434432